Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8089 and 8093 the smallest integer that is 65464277 that is divisible by both numbers.
Least Common Multiple (LCM) of 8089 and 8093 is 65464277.
LCM(8089,8093) = 65464277
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8089 and 8093. First we will calculate the prime factors of 8089 and 8093.
Prime Factorization of 8089
8089 | 8089 |
1 |
Prime factors of 8089 are 8089. Prime factorization of 8089 in exponential form is:
8089 = 80891
Prime Factorization of 8093
8093 | 8093 |
1 |
Prime factors of 8093 are 8093. Prime factorization of 8093 in exponential form is:
8093 = 80931
Now multiplying the highest exponent prime factors to calculate the LCM of 8089 and 8093.
LCM(8089,8093) = 80891×80931
LCM(8089,8093) = 65464277
Factors of 8089
List of positive integer factors of 8089 that divides 8089 without a remainder.
1, 8089
Factors of 8093
List of positive integer factors of 8093 that divides 8093 without a remainder.
1, 8093
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8089 and 8093, than apply into the LCM equation.
GCF(8089,8093) = 1
LCM(8089,8093) = ( 8089 × 8093) / 1
LCM(8089,8093) = 65464277 / 1
LCM(8089,8093) = 65464277
(i) The LCM of 8093 and 8089 is associative
LCM of 8089 and 8093 = LCM of 8093 and 8089
1. What is the LCM of 8089 and 8093?
Answer: LCM of 8089 and 8093 is 65464277.
2. What are the Factors of 8089?
Answer: Factors of 8089 are 1, 8089. There are 2 integers that are factors of 8089. The greatest factor of 8089 is 8089.
3. What are the Factors of 8093?
Answer: Factors of 8093 are 1, 8093. There are 2 integers that are factors of 8093. The greatest factor of 8093 is 8093.
4. How to Find the LCM of 8089 and 8093?
Answer:
Least Common Multiple of 8089 and 8093 = 65464277
Step 1: Find the prime factorization of 8089
8089 = 8089
Step 2: Find the prime factorization of 8093
8093 = 8093
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65464277 = 8089 x 8093
Step 4: Therefore, the least common multiple of 8089 and 8093 is 65464277.